Search a number
-
+
1013583942 = 23471316823
BaseRepresentation
bin111100011010100…
…001000001000110
32121122020101210000
4330122201001012
54033434141232
6244324342130
734055215140
oct7432410106
92548211700
101013583942
11480161688
12243544946
13131cb5117
1498885c90
155deb627c
hex3c6a1046

1013583942 has 80 divisors (see below), whose sum is σ = 2615830272. Its totient is φ = 287342640.

The previous prime is 1013583931. The next prime is 1013583971. The reversal of 1013583942 is 2493853101.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1013583897 and 1013583906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145143 + ... + 151965.

Almost surely, 21013583942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013583942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307915136).

1013583942 is an abundant number, since it is smaller than the sum of its proper divisors (1602246330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013583942 is a wasteful number, since it uses less digits than its factorization.

1013583942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6975 (or 6966 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1013583942 is about 31836.8331025559. The cubic root of 1013583942 is about 1004.5076313961.

The spelling of 1013583942 in words is "one billion, thirteen million, five hundred eighty-three thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 131 162 189 262 378 393 567 786 917 1134 1179 1834 2358 2751 3537 5502 6823 7074 8253 10611 13646 16506 20469 21222 24759 40938 47761 49518 61407 74277 95522 122814 143283 148554 184221 286566 368442 429849 552663 859698 893813 1105326 1289547 1787626 2579094 2681439 3868641 5362878 6256691 7737282 8044317 12513382 16088634 18770073 24132951 37540146 48265902 56310219 72398853 112620438 144797706 168930657 337861314 506791971 1013583942